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File:Eigenvectors of a linear operator.gif

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A 2x2 real and symmetric matrix represent a stretching and shearing of the plane. The eigenvectors of the matrix (red lines) are the two special directions such that every point on them will just slide on
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The eigenvectors are the directions such that every point on them will just slide on them.
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File:Eigenvectors of a linear operator.gif
Eigenvectors_of_a_linear_operator.gif
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